GCD of 141, 338, 513, 841 Calculator

Given Input numbers are 141, 338, 513, 841

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 141

List of positive integer divisors of 141 that divides 141 without a remainder.

1, 3, 47, 141

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Divisors of 513

List of positive integer divisors of 513 that divides 513 without a remainder.

1, 3, 9, 19, 27, 57, 171, 513

Divisors of 841

List of positive integer divisors of 841 that divides 841 without a remainder.

1, 29, 841

Greatest Common Divisior

We found the divisors of 141, 338, 513, 841 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 141, 338, 513, 841 is 1.

Therefore, GCD of numbers 141, 338, 513, 841 is 1

Given Input Data is 141, 338, 513, 841

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 141 is 3 x 47

Prime Factorization of 338 is 2 x 13 x 13

Prime Factorization of 513 is 3 x 3 x 3 x 19

Prime Factorization of 841 is 29 x 29

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(141, 338) = 47658

GCD(141, 338) = ( 141 x 338 ) / 47658

GCD(141, 338) = 47658 / 47658

GCD(141, 338) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 513

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 513) = 513

GCD(1, 513) = ( 1 x 513 ) / 513

GCD(1, 513) = 513 / 513

GCD(1, 513) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 841

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 841) = 841

GCD(1, 841) = ( 1 x 841 ) / 841

GCD(1, 841) = 841 / 841

GCD(1, 841) = 1

GCD of 141, 338, 513, 841 is 1

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1. What is the GCD of 141, 338, 513, 841?

GCD of 141, 338, 513, 841 is 1

2. Where do I get the detailed procedure to find GCD of 141, 338, 513, 841?

You can find a detailed procedure to find GCD of 141, 338, 513, 841 on our page.

3. How to find GCD of 141, 338, 513, 841 on a calculator?

You can find the GCD of 141, 338, 513, 841 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.